pls solve the following step by step
Answers
Answer:
1 4/11 / 3 3/5 = 25/
66
≅ 0.3787879
Spelled result in words is twenty-five sixty-sixths.
How do you solve fractions step by step?
Conversion a mixed number 1 4/
11
to a improper fraction: 1 4/11 = 1 4/
11
= 1 · 11 + 4/
11
= 11 + 4/
11
= 15/
11
To find new numerator:
a) Multiply the whole number 1 by the denominator 11. Whole number 1 equally 1 * 11/
11
= 11/
11
b) Add the answer from previous step 11 to the numerator 4. New numerator is 11 + 4 = 15
c) Write a previous answer (new numerator 15) over the denominator 11.
One and four elevenths is fifteen elevenths
Conversion a mixed number 3 3/
5
to a improper fraction: 3 3/5 = 3 3/
5
= 3 · 5 + 3/
5
= 15 + 3/
5
= 18/
5
To find new numerator:
a) Multiply the whole number 3 by the denominator 5. Whole number 3 equally 3 * 5/
5
= 15/
5
b) Add the answer from previous step 15 to the numerator 3. New numerator is 15 + 3 = 18
c) Write a previous answer (new numerator 18) over the denominator 5.
Three and three fifths is eighteen fifths
Divide: 15/
11
: 18/
5
= 15/
11
· 5/
18
= 15 · 5/
11 · 18
= 75/
198
= 3 · 25/
3 · 66
= 25/
66
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 18/
5
is 5/
18
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, , cancel by a common factor of 3 gives 25/
66
.
In words - fifteen elevenths divided by eighteen fifths = twenty-five sixty-sixths.
Step-by-step explanation: